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Finding the Third Proportional to 35,829,914.50 and 78,366,124.50

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Solution

The third proportional to 35,829,914.50 and 78,366,124.50 is: 171,400,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,829,914.50 : 78,366,124.50 = 78,366,124.50 : x
  2. Step 2: Convert to fraction form
    35,829,914.50/78,366,124.50 = 78,366,124.50/x
  3. Step 3: Cross multiply
    35,829,914.50x = 78,366,124.50 × 78,366,124.50
  4. Step 4: Simplify right side
    35,829,914.50x = 6,141,249,469,149,500
  5. Step 5: Solve for x
    x = 6,141,249,469,149,500/35,829,914.50
  6. Step 6: Final answer
    x = 171,400,059.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.